(2+1)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

Tian B; Li H; Gao YT

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >(2+1)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

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(2+1)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

机译：浅水波的（2 + 1）维Broer-Kaup系统和具有符号计算的相似解

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摘要

The Broer-Kaup system is among the important integrable models for the shallow water waves. For a (2+1)-dimensional Broer-Kaup system and with symbolic computation, we present some similarity solutions, which are expressible in terms of the Jacobian elliptic functions and second Painleve transcendent. Our results are in agreement with the Painleve conjecture.

机译：Broer-Kaup系统是浅水波重要的可集成模型之一。对于（2 + 1）维Broer-Kaup系统并进行符号计算，我们提出了一些相似性解，这些解可以用雅可比椭圆函数和第二个Painleve超越表示。我们的结果与Painleve猜想一致。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2005年第5期|共8页
作者
Tian B; Li H; Gao YT;
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正文语种 eng
中图分类应用数学;
关键词
Broer-Kaup system; water waves; similarity solutions; symbolic computation; SOLITON-LIKE SOLUTIONS; ORDINARY DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION-EQUATIONS; REGULARIZED-LONG-WAVE; ION-ACOUSTIC-WAVES; BACKLUND TRANSFORMATION; SCHRODINGER MODEL; DUSTY PLASMA; REDUCTIONS; CONNECTION;

机译：Broer-Kaup系统;水波;相似性解决方案;符号计算;孤子解;普通微分方程;非线性演化方程;调节长波;离子声波;回声变换;施罗丁格模型;尘埃等离子体减少连接;

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1. (2+1)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation [J] . Tian B, Li H, Gao YT ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2005,第5期

机译：浅水波的（2 + 1）维Broer-Kaup系统和具有符号计算的相似解
2. Darboux transformation and soliton solutions for the (2+1)-dimensional generalization of shallow water wave equation with symbolic computation [J] . Wen X.-Y., Meng X.-H. Communications in Theoretical Physics . 2013,第2期

机译：带符号计算的浅水波方程（2 + 1）推广的Darboux变换和孤子解
3. Darboux Transformation and Soliton Solutions for the (2+1)-Dimensional Generalization of Shallow Water Wave Equation with Symbolic Computation [J] . WEN Xiao-Yong, MENG Xiang-Hua 理论物理通讯（英文版） . 2013,第008期

机译：带符号计算的浅水波方程（2 + 1）推广的Darboux变换和孤立子解
4. Study of the Variable Separation Solutions and Chaotic Behaviors for the Extended (2+1)-Dimensional Shallow Water Wave System [C] . Xiao-Xin Zhu, Song-Hua Ma, Qing-Bao Ren International Conference on Intelligent Structure and Vibration Control . 2013

机译：延伸（2 + 1）浅水波系统的可变分离溶液和混沌行为的研究
5. Linked one-dimensional/two-dimensional model for the solution of the shallow water equations. [D] . DeGennaro-Ransom, Owen Thomas. 2009

机译：一维/二维链接模型，用于求解浅水方程。
6. Dynamical analysis of long-wave phenomena for the nonlinear conformable space-time fractional (2+1)-dimensional AKNS equation in water wave mechanics [O] . Nur Hasan Mahmud Shahen, Foyjonnesa, Md. Habibul Bashar, 2020

机译：水波力学中非线性适能性时空分数（2 + 1）长度AKNS方程的长波现象动态分析
7. Lump solutions to the (2+1)-dimensional shallow water wave equation [O] . Ma Hong-Cai, Ni Ke, Deng Aiping 2017

机译：（2 + 1）维浅水波方程的整体解

(2+1)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

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